Nonstandard Topology without Logic, Ultrafilters as infinitesimal points in topological space
General Topology
2013-02-14 v1
Abstract
Nonstandard analysis is very complex, so finding a simple description of infinitesimal points will be useful. In this paper, ultrafilters as infinitesimal points in a topological space will be proposed, and some topological concepts is restated by this tools.
Keywords
Cite
@article{arxiv.1302.3205,
title = {Nonstandard Topology without Logic, Ultrafilters as infinitesimal points in topological space},
author = {M. Akbari Tootkaboni},
journal= {arXiv preprint arXiv:1302.3205},
year = {2013}
}